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Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions

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  • Thitiporn Linitda

    (Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand)

  • Kulandhaivel Karthikeyan

    (Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, Tamil Nadu, India)

  • Palanisamy Raja Sekar

    (Department of Mathematics, K.S.R. College of Engineering, Tiruchengode 637215, Tamilnadu, India)

  • Thanin Sitthiwirattham

    (Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand)

Abstract

In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch’s fixed point theorem. We also present an example, in order to elucidate one of the results discussed.

Suggested Citation

  • Thitiporn Linitda & Kulandhaivel Karthikeyan & Palanisamy Raja Sekar & Thanin Sitthiwirattham, 2023. "Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions," Mathematics, MDPI, vol. 11(5), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1071-:d:1075249
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    References listed on IDEAS

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    1. Kavitha, K. & Vijayakumar, V. & Udhayakumar, R., 2020. "Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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    Cited by:

    1. Hussain, Sadam & Sarwar, Muhammad & Abodayeh, Kamaleldin & Promsakon, Chanon & Sitthiwirattham, Thanin, 2024. "Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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